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Re: Perfect Square [#permalink]
18 Aug 2012, 02:22

1

This post received KUDOS

hussi9 wrote:

For which value of n below is a perfect square

(2^8)+(2^11)+(2^n)

Use the formula for \((a+b)^2=a^2+2ab+b^2.\) Since \(2^8+2^{11}=(2^4)^2+2*2^4*2^6\), we need an extra term, that of \((2^6)^2=2^{12}\) to complete the expression to a perfect square, \((2^4+2^6)^2.\)

So, \(n\) should be \(12\). _________________

PhD in Applied Mathematics Love GMAT Quant questions and running.

Re: Perfect Square [#permalink]
18 Aug 2012, 17:51

EvaJager wrote:

hussi9 wrote:

For which value of n below is a perfect square

(2^8)+(2^11)+(2^n)

Use the formula for \((a+b)^2=a^2+2ab+b^2.\) Since \(2^8+2^{11}=(2^4)^2+2*2^4*2^6\), we need an extra term, that of \((2^6)^2=2^{12}\) to complete the expression to a perfect square, \((2^4+2^6)^2.\)

So, \(n\) should be \(12\).

Thank you eva I think this approach is more justified, like it better _________________

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